Multi-bump standing waves with critical frequency for nonlinear Schrödinger equations

Jaeyoung Byeon, Yoshihito Oshita

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We glue together standing wave solutions concentrating around critical points of the potential V with different energy scales. We devise a hybrid method using simultaneously a Lyapunov-Schmidt reduction method and a variational method to glue together standing waves concentrating on local minimum points which possibly have no corresponding limiting equations and those concentrating on general critical points which converge to solutions of corresponding limiting problems satisfying a non-degeneracy condition.

Original languageEnglish
Pages (from-to)1121-1152
Number of pages32
JournalAnnales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis
Volume27
Issue number4
DOIs
Publication statusPublished - Jul 2010

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Glues
Standing Wave
Nonlinear equations
Critical point
Nonlinear Equations
Lyapunov-Schmidt Method
Lyapunov-Schmidt Reduction
Limiting Equations
Nondegeneracy
Reduction Method
Hybrid Method
Local Minima
Variational Methods
Limiting
Converge
Energy

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics

Cite this

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